What is the power of this test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer question 6.2
![The Absent-Minded Bakery sells both cream-filled and jelly-filled donuts. In the morning rush,
the bakers forgot which batch was cooling on which tray and now need help in identifying the
two trays.
The weights of jelly-filled donuts follow a uniform distribution from 37 to 45 g. The mean
weight of jelly-filled donuts is 41 g with a standard deviation of 2.31 g.
The weights of cream-filled donuts follow a normal distribution with a mean of 37.5 g and a
standard deviation of 1.5 g.
The bakery will set their two hypotheses as follows:
Ho: The tray contains jelly-filled donuts
Ha: The tray contains cream-filled donuts.
We randomly select and weigh a donut from the tray. If the donut weighs 39 g or less, we'll
decide that the tray it came from contains cream-filled donuts; that is we will reject Ho.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2898dea9-e886-407e-829c-8f4c4706515e%2Fbb0c7f28-45ee-47a7-ad0c-697c056741f1%2Fi78mifp_processed.png&w=3840&q=75)
Transcribed Image Text:The Absent-Minded Bakery sells both cream-filled and jelly-filled donuts. In the morning rush,
the bakers forgot which batch was cooling on which tray and now need help in identifying the
two trays.
The weights of jelly-filled donuts follow a uniform distribution from 37 to 45 g. The mean
weight of jelly-filled donuts is 41 g with a standard deviation of 2.31 g.
The weights of cream-filled donuts follow a normal distribution with a mean of 37.5 g and a
standard deviation of 1.5 g.
The bakery will set their two hypotheses as follows:
Ho: The tray contains jelly-filled donuts
Ha: The tray contains cream-filled donuts.
We randomly select and weigh a donut from the tray. If the donut weighs 39 g or less, we'll
decide that the tray it came from contains cream-filled donuts; that is we will reject Ho.
![What is the power of this test?
This question requires a numeric input; no work is necessary. Make sure to include 4 decimal
places, if appropriate and express it as X.XXXX
Enter your answer here](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2898dea9-e886-407e-829c-8f4c4706515e%2Fbb0c7f28-45ee-47a7-ad0c-697c056741f1%2Foid86ch_processed.png&w=3840&q=75)
Transcribed Image Text:What is the power of this test?
This question requires a numeric input; no work is necessary. Make sure to include 4 decimal
places, if appropriate and express it as X.XXXX
Enter your answer here
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